Skip to main content
SpringerLink
Log in

The Influence of Wall Properties on the Peristaltic Pumping of a Casson Fluid

  • Conference paper
  • First Online:
Applied Mathematics and Scientific Computing

Part of the book series: Trends in Mathematics ((TM))

Abstract

Wall properties effect has been investigated on the peristaltic flow of Casson fluid in a channel by assuming long wavelength and low Reynolds number. The governing equations are solved analytically to find the expression for velocity and stream function. The effect of different parameters of wall and fluid properties on the velocity and stream function is discussed through graphs. The results obtained create interest among young researchers to concentrate on the wall effects of different types of Newtonian and non-Newtonian fluids in the presence of peristalsis.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Akbar, N. S., Nadeem, S.: Blood flow analysis in tapered stenosed arteries with pseudo plastic characteristics, Int. J. BioMath. 7(6), 1450065 (2014)

    Article  MathSciNet  Google Scholar 

  2. Scott Blair, G. W.: An equation for the flow of blood, plasma and serum through glass capillaries, Nature 183, 613 (1959)

    Article  Google Scholar 

  3. Casson, N.: Rheology of Disperse Systems, C. C. Mill, ed., Pergamon Press, London, (1959)

    Google Scholar 

  4. Nadeem, S., Ijaz, S.: Nanoparticles analysis on the blood flow through a tapered catheterized elastic artery with overlapping stenosis, Eur. Phys. J. Plus. 129, 249 (2014)

    Article  Google Scholar 

  5. Sankad, G.C., Radha Krishnamacharya, G.: Influence of Wall Properties on Peristaltic Transport of a Micropolar Fluid in an Inclined Channel, J. New Results Sci. 6(6), 62 (2014)

    Google Scholar 

  6. Vajravelu, K., Sreenadh, S., Ramesh Babu, V.: Peristaltic transport of a Herschel-Bulkley fluid in an inclined tube, Int. J. Nonlinear Mech. 40, 83 (2005)

    Article  Google Scholar 

  7. Vajravelu, K., Sreenadh, S., Ramesh Babu, V.: Peristaltic transport of a Herschel-Bulkley fluid in a channel, Appl. Math and Comput. 169, 726 (2005)

    MathSciNet  MATH  Google Scholar 

  8. Srivastava, L.M., Srivastava, V.P.: Peristaltic transport of blood Casson Model II J. Biomechanics 17, 821 (1984)

    Article  Google Scholar 

  9. Vajravelu, K., Sreenadh, S., Devaki, P., Prasad, K.V.: Mathematical model for a Herschel-Bulkley fluid flow in an Elastic tube, Central Eur. J. Phys. 9(5), 1357 (2011)

    Google Scholar 

  10. Vajravelu, K., Sreenadh, S., Devaki, P., Prasad, K.V.: Peristaltic transport of Casson fluid in an elastic tube, J. Appl. Fluid Mech. 9(4), 1897 (2016)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, School of Engineering and Technology, CMR University, Bangalore, India

    P. Devaki

  2. VIT, Vellore, India

    A. Kavitha

  3. Vemu Engineering College, Chittoor, India

    D. Venkateswarlu Naidu

  4. Sri Venkateswara University, Tirupati, India

    S. Sreenadh

Authors
  1. P. Devaki
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Kavitha
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. Venkateswarlu Naidu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. Sreenadh
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. Rushi Kumar

  2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    R. Sivaraj

  3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. S. R. V. Prasad

  4. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    M. Nalliah

  5. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    A. Subramanyam Reddy

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Devaki, P., Kavitha, A., Venkateswarlu Naidu, D., Sreenadh, S. (2019). The Influence of Wall Properties on the Peristaltic Pumping of a Casson Fluid. In: Rushi Kumar, B., Sivaraj, R., Prasad, B., Nalliah, M., Reddy, A. (eds) Applied Mathematics and Scientific Computing. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01123-9_18

Download citation

Publish with us

Policies and ethics

Search

Navigation